Magnetic gradient measurement system has high requirements for sensor consistency,measurement accuracy,and assembly technology. In the process of magnetic gradient tensor error,the existing error compensation methods would compensate the measurement error of magnetometer,the alignment error between magnetometers, and the interference magnetic field generated by motion platform. However,after a long time of work,the calibration parameters will inevitably change,and it would take a lot of manpower and materials to dismantle the mature equipment and make calibrations gradually. In view of the above problems,this paper proposes a simple and feasible integrated error compensation algorithm for the magnetic gradient tensor system. The simulation results show that for the cross shaped magnetic gradiometer,the error after calibration is reduced to less than 8% of that before calibration,which can effectively overcome the adverse effects of the magnetic gradient signal distortion.